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77 papers · 1 filter
An Embedding Theorem for Tractor Bundles, and an Application in Conformal Pseudo-Riemannian Geometry
Karin Melnick, Katharina Neusser
We provide an extension of the Gromov-Zimmer embedding theorem for Cartan geometries of [Bader U., Frances C., Melnick K., Geom. Funct. Anal. 19 (2009), 333-355, arXiv:0709.3844] t…
Gromov-Thurston manifolds and anti-de Sitter geometry
Daniel Monclair, Jean-Marc Schlenker, Nicolas Tholozan
We consider hyperbolic and anti-de Sitter (AdS) structures on , where is a -dimensional Gromov-Thurston manifold. If has cone angles greater than , we…
Hessian heat kernel estimates and Calderón-Zygmund inequalities on complete Riemannian manifolds
Jun Cao, Li-Juan Cheng, Anton Thalmaier
We address some fundamental questions concerning geometric analysis on Riemannian manifolds. It has been asked whether the -Calderón-Zygmund inequalities extend to a reasonabl…
The Weyl problem for unbounded convex domains in $\HH^3$
Jean-Marc Schlenker
Let $K\subset \HH^3$ be a convex subset in $\HH^3$ with smooth, strictly convex boundary. The induced metric on then has curvature . It was proved by Alexandrov…
Almost strict domination and anti-de Sitter 3-manifolds
Nathaniel Sagman
We define a condition called almost strict domination for pairs of representations , , where is the isome…
Rigidity of minimal Lagrangian diffeomorphisms between spherical cone surfaces
Christian El Emam, Andrea Seppi
We prove that any minimal Lagrangian diffeomorphism between two closed spherical surfaces with cone singularities is an isometry, without any assumption on the multiangles of the t…